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Recent questions in Differential Calculus

ankarskogC 2020-12-17

Error Analysis A student evaluated $- 4 + x f o r x = - 9$ and got an answer of 5. What might the student have done wrong?

Chaya Galloway 2020-12-14

Identify whether the claim is accurate or not. If it's accurate, describe why. If it's untrue, explain why or provide an illustration that refutes it. Derivatives exist for all continuous functions.

smileycellist2 2020-12-12

Mixed Partial Derivatives If f is a function of a and y such that $f_{x y} and f_{y x}$ are continuous, what is the relationship between the mixed partial derivatives?

geduiwelh 2020-12-07

If the annual percentage yield is 5%, what will $10,000 be worth 4 years form now?

Lipossig 2020-11-30

Let S be an ordered set and A is a nonempty subset such that sup A exists. Suppose there is a $B \subset A$ such that whenever $x \in A$ there is a $y \in B$ such that $x \leq y$ . Show that $\supset B$ exists and $\supset B =\supset A$ .

DofotheroU 2020-11-29

For the following sets of variables, find all the relevant second derivatives. In all cases, first find general expressions for the second derivatives and then substitute variables at the last step. $f (x, y) = x^{2} y - x y^{2}, w h e r e x = s t and y = \frac{s}{t}$

Sinead Mcgee 2020-11-29

How can evaluate partial derivatives, gradients, and directional derivatives at a point?

Dolly Robinson 2020-11-27

If a function is decreasing with an upward concavity, what do you know about the function's first two derivatives?

a2linetagadaW 2020-11-26

Find the critical points of the following functions. Use the Second Derivative Test to determine whether each critical point corresponds to a loal maximum, local minimum, or saddle point.
$f (x, y) = x^{4} + 2 y^{2} - 4 x y$

Rivka Thorpe 2020-11-23

Some prime numbers are odd. 2 is a prine number. Therefore, 2 is an odd number.

Marvin Mccormick 2020-11-23

Geographical Analysis (Oct. 2006) published a study of a new method for analyzing remote-sensing data from satellite pixels in order to identify urban land cover. The method uses a numerical measure of the distribution of gaps, or the sizes of holes, in the pixel, called lacunarity. Summary statistics for the lacunarity measurements in a sample of 100 grassland pixels are $\bar{x} = 225 a n d s = 20 s = 20$ . It is known that the mean lacunarity measurement for all grassland pixels is 220. The method will be effective in identifying land cover if the standard deviation of the measurements is 10% (or less) of the true mean (i.e., if the standard deviation is less than 22).

a. Give the null and alternative hypotheses for a test to determine whether, in fact, the standard deviation of all grassland pixels is less than 22.

b. A MINITAB analysis of the data is provided below. Locate and interpret the p-value of the test. Use $α = 0.10$ . Test for One Standard Deviation Method Null hypothesis $Σ = 22$ Method Alternative hypothesis $Σ \leq 22$ The standard method is only for the normal distribution. Statistics NStDevVariance 10020.0400 Tests

Alyce Wilkinson 2020-11-23

Find both first partial derivatives.
$f (x, y) = x^{2} - 2 y^{2} + 4$

bobbie71G 2020-11-23

For the graphs $x = | y | and 2 x = - y^{2} + 2$
(a) Sketch the enclosed region, showing all the intersection and boundary points.
(b) Find the area of the enclosed region by integrating along the y-axis

avissidep 2020-11-16

$3450 shares were bought and than sold for $6100 after a while. What is the capital gain as a percent of the original purchace price? What is the gross capital gain?

vestirme4 2020-11-11

Calculating derivatives Find the derivative of the following functions.
$y = \cos^{2} x$

arenceabigns 2020-11-10

Derivatives of power and constant functions Evaluate the following derivatives.
$\frac{d}{d x} (x)$

Isa Trevino 2020-11-08

Find derivatives of the functions defined as follows. $y = 4^{(- 5 x + 2)}$

ka1leE 2020-11-08

Derivatives of power and constant functions Evaluate the following derivatives.
$\frac{d}{d x} (x^{9})$

Aneeka Hunt 2020-11-07

gestationperiod mean birthweight standard deviation
under 28weeks 1.88lbs 1.20lbs
28-31weeks 4.08lbs 1.86lbs
32-35weeks 5.71 1.47lbs
36weeks 6.44lbs 1.19lbs
37-39weeks 7.31lbs 1.09lbs
40weeks 7.69 1.04
41weeks 7.79 1.08lbs
42 weeks andover 7.61 1.11lbs
1. what percent of the babies born within each gestationperiod have a low birth weight (under 5.5 lbs)? Explain yourreasoning.
a. under 28 weeks
b.32-35 weeks
c. 37to 39 weeks
d. 42 weeks and over
2. Describe the weights of the top 10% of the babies born witheach gestation period. Expalin your reasoning.
a. 37 to 39 weeks
b. 42 weeks and over
3. For each gestation period, what is the probability that ababy will weigh between 6 and 9 lbs at birth?
a. 32 to 35 weeks
b. 37to 39 weeks
c. 42 weeks and over
4. A birth weight of less than 3.3 lbs is classified by theNCHS as a " very low birth weight." What is the probability that ababy has a very low birth weight for each gestation period?
a. under 28 weeks
b. 32 to 35 weeks
c. 37 to 39 weeks

kuCAu 2020-11-02

Use the limit definition of partial derivatives to evaluate $f_{x} (x, y) and f_{y} (x, y)$ for the following functions.
$f (x, y) = \frac{x}{y}$

One of the most famous and challenging aspects of learning calculus and analysis is dealing with differential calculus equations that are not too complex per se if you have an example of differential calculus sample problems that contain both answers and questions. It is recommended to use your logic and see how differential calculus problems are formed with the help of several equations where you must be solving equations with decimals, functions and their derivatives. These are used to calculate the flow of electricity, model some motion, or set the energy flow of an object in a graphical form.

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